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Free Probability and Random Matrices

Overview of attention for book
Cover of 'Free Probability and Random Matrices'

Table of Contents

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    Book Overview
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    Chapter 1 Asymptotic Freeness of Gaussian Random Matrices
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    Chapter 2 The Free Central Limit Theorem and Free Cumulants
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    Chapter 3 Free Harmonic Analysis
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    Chapter 4 Asymptotic Freeness for Gaussian, Wigner, and Unitary Random Matrices
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    Chapter 5 Fluctuations and Second Order Freeness
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    Chapter 6 Free Group Factors and Freeness
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    Chapter 7 Free Entropy <Emphasis Type="Italic">χ</Emphasis>: The Microstates Approach via Large Deviations
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    Chapter 8 Free Entropy <Emphasis Type="Italic">χ</Emphasis><Superscript>∗</Superscript>: The Non-microstates Approach via Free Fisher Information
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    Chapter 9 Operator-Valued Free Probability Theory and Block Random Matrices
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    Chapter 10 Deterministic Equivalents, Polynomials in Free Variables, and Analytic Theory of Operator-Valued Convolution
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    Chapter 11 Brown Measure
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    Chapter 12 Solutions to Exercises
Attention for Chapter 8: Free Entropy <Emphasis Type="Italic">χ</Emphasis><Superscript>∗</Superscript>: The Non-microstates Approach via Free Fisher Information
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